ALGEBRA II AND ACCELERATED ALGEBRA II

Linear Functions

I can graph a line using the equation in any form.

I can write an equation of a line given a point and a slope.

I can write an equation of a line given 2 points.

I can find the slope of a line given 2 points.

I can find the slope of a line given a graph.



Solving Systems of Linear Equations

I can solve a system of linear equations using substitution.

I can solve a system of linear equations using elimination.

I can solve a system of linear equations using graphing.

I can solve a system of inequalities.

I can use real data to find the equations of trend lines and interpret the results.

Matrices

 I can write a matrix, tell the dimensions and identify an element and tell what it represents.

I can add and subtact matrices and solve matrix equations using these two operations.

I can multiply a matrix by a scalar and solve matrix equations using scalars, as well as addition and subtraction.

I can multiply two matrices.

I can find the determinant and inverse of a 2x2 matrix by hand.

I can find the determinant and inverse of a 3x3 matrix (or larger) using the calculator.

I can use matrices to set up and solve a system of linear equations of any size.

Quadratic Functions

I can find the vertex and line of symmetry given a graph.

I can graph a quadratic function in standard form.

I can graph a quadratic function in vertex form.

I can describe a graph of a quadratic function using the equation only.

I can find the solution of a quadratic equation by factoring.

I can find the solution of a quadratic equation by graphing.

I can find the solution of a quadratic equations using square roots.

I can find the solution of a quadratic equation using quadratic formula.

I can find the solution of a quadratic equation by completing the square.

I can factor a quadratic expression.

I can simplify radicals.

I can find real number and imaginary number solutions.

I can simplify complex numbers.

I can graph complex numbers.

I can find the absolute value of complex numbers.

Polynomials

I can factor polynomials, including cubics and quartics.

I can find the zeros of a polynomial by graphing.

I can find the zeros of a polynomial by factoring.

I can find the zeros of a polynomial using square roots.

I can find the zeros of a polynomial by any combination of methods.

I can find a cubic or quartic model for data and predict values using the model.

I can determine the end behavior of a polynomial function.

I can use the end behavior and zeros of a function to sketch the graph.

I can divide polynomials using both long division and synthetic division.

I can use the remainder theorem to evaluate polynomials.

I can use division to find a factor and then factor a polynomial completely.

I can use the rational root theorem to find all possible roots of a polynomial.

I can use the irrational root theorem and the imaginary root theorem to find other roots.

I can use conjugates to find roots.

I can determine permutation or combination.

I can expand a binomial using the binomial theorem.

I can expand a binomial using Pascal's triangle.